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Finding the Third Proportional to 317,672 and 681,406

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Solution

The third proportional to 317,672 and 681,406 is: 1,461,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,672 : 681,406 = 681,406 : x
  2. Step 2: Convert to fraction form
    317,672/681,406 = 681,406/x
  3. Step 3: Cross multiply
    317,672x = 681,406 × 681,406
  4. Step 4: Simplify right side
    317,672x = 464,314,136,836
  5. Step 5: Solve for x
    x = 464,314,136,836/317,672
  6. Step 6: Final answer
    x = 1,461,614.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.